The relative magnetic permeability ($\mu_r$) of a substance is given by:
The text defines relative magnetic permeability as $\mu_r = 1 + \chi$. It is a dimensionless quantity.
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The relative magnetic permeability ($\mu_r$) of a substance is given by:
The text defines relative magnetic permeability as $\mu_r = 1 + \chi$. It is a dimensionless quantity.
What is the relationship between the magnetic permeability ($\mu$) of a substance, the permeability of free space ($\mu_0$), and the relative magnetic permeability ($\mu_r$)?
The text states that 'The magnetic permeability of the substance is $\mu$ and it has the same dimensions and units as $\mu_0$; $\mu = \mu_0 \mu_r = \mu_0 (1+\chi)$'.
For a paramagnetic material, the magnetic susceptibility ($\chi$) is:
The text mentions, 'χ is small and positive for materials, which are called paramagnetic.' It explicitly cites a value of $\chi = +10^{-5}$ for paramagnetic materials.
In the equation $B = \mu_0 (H + M)$, the term $\mu_0 M$ represents:
The text states, 'This additional field Bm is proportional to the magnetisation M of the material and is expressed as Bm = $\mu_0 M$.' This field Bm is the contribution from the material core itself.
Which of the following physical quantities is dimensionless?
The table in 'POINTS TO PONDER' clearly labels Magnetic susceptibility $\chi$ as a 'Scalar' with 'Dimensions: -' and 'Units: -', indicating it is dimensionless. The text also states that '$\chi$, a dimensionless quantity'.
The total magnetic field B inside a sample is partitioned into two parts. One part is due to external factors like current in a solenoid, represented by H. The other part is due to the specific nature of the magnetic material, namely M. Which statement correctly identifies which part is influenced by external factors?
The text states: 'We have partitioned the contribution to the total magnetic field inside the sample into two parts: one, due to external factors such as the current in the solenoid. This is represented by H. The other is due to the specific nature of the magnetic material, namely M. The latter quantity can be influenced by external factors.' (referring to M). H is also due to external factors.
If a material has a relative permeability ($\mu_r$) of 400, and is placed in a region with magnetic intensity H, the total magnetic field B in the material can be calculated using:
From Eq. (5.15), $B = \mu_0 \mu_r H$. Given $\mu_r = 400$, then $B = \mu_0 (400) H = 400 \mu_0 H$. This is also derived from $\mu = \mu_0 \mu_r$ and $B = \mu H$.
Which of the following are interrelated quantities where only one needs to be known to determine the others?
The text explicitly states: 'The three quantities $\chi$, $\mu_r$ and $\mu$ are interrelated and only one of them is independent. Given one, the other two may be easily determined.'
Which of the following statements about magnetic monopoles is correct?
According to the NCERT text, 'Magnetic monopoles do not exist. If you slice a magnet in half, you get two smaller magnets.' Also, 'Unlike electric charges, isolated magnetic north and south poles known as magnetic monopoles do not exist.' This clearly states that magnetic monopoles are not observed in nature.
What is the defining characteristic of substances called 'permanent magnets'?
The NCERT text states: 'Substances, which at room temperature, retain their ferromagnetic property for a long period of time are called permanent magnets.' This differentiates them from other magnetic materials whose magnetic properties are temporary.
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